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\begin{document}

\section*{五、实验数据处理}
\subsection*{实验1.物距像距法测凸透镜焦距}
\subsubsection*{(1)f<u<2f 成倒立放大的实像}

\begin{center}

\begin{tabular}{|c|c|c|c|c|}
\hline 
光源/mm & 光屏/mm & 凸透镜1/mm & 凸透镜2/mm & 均值/mm \\ 
\hline 
{%for ei in EXPER_1 -%}
{% for i in ei-%}
{% if loop.index ==1 -%}
%% i %%
{% else -%}
& %% i %%
{%- endif %}
{%- endfor %}
\\
\hline
{%- endfor %}
\end{tabular}
\vspace{10pt}

\end{center}
u = $\left | {x}_{\text{凸}} - {x}_{\text{光源}} \right | - {\delta}$\\
${u}_1$ = %% U[0][0] %% mm		${u}_2$ = %% U[0][1] %% mm		${u}_3$ = %% U[0][2] %% mm\\
v = $\left | {x}_{\text{屏}} - {x}_{\text{凸}} \right |$\\
${v}_1$ = %% V[0][0] %% mm		${v}_2$ = %% V[0][1] %%	mm		${v}_3$ = %% V[0][2] %% mm\\
$\because f = \frac{uv}{u+v}$\\
$\therefore {f}_1 = \frac{{u}_1{v}_1}{{u}_1+{v}_1}$ = %% f[0][0] %% mm	$ {f}_2$ = %% f[0][1] %% mm	$ {f}_3$ = %% f[0][2] %% mm\\
$\therefore {\bar{f}}_1 = \frac{{f}_1+{f}_2+{f}_3}{3}$ = %%　f[0][3] %% mm

\subsubsection*{(2)u=2f 成倒立等大的实像}

\begin{center}

\begin{tabular}{|c|c|c|c|c|}
\hline 
光源/mm & 光屏/mm & 凸透镜1/mm & 凸透镜2/mm & 均值/mm \\ 
\hline 
{%for ei in EXPER_2 -%}
{% for i in ei-%}
{% if loop.index ==1 -%}
%% i %%
{% else -%}
& %% i %%
{%- endif %}
{%- endfor %}
\\
\hline
{%- endfor %}
\end{tabular}
\vspace{10pt}
\end{center}
u = $\left | {x}_{\text{凸}} - {x}_{\text{光源}} \right | - {\delta}$\\
${u}_1$ = %% U[1][0] %% mm		${u}_2$ = %% U[1][1] %% mm		${u}_3$ = %% U[1][2] %% mm\\
v = $\left | {x}_{\text{屏}} - {x}_{\text{凸}} \right |$\\
${v}_1$ = %% V[1][0] %% mm		${v}_2$ = %% V[1][1] %%	mm		${v}_3$ = %% V[1][2] %% mm\\
$\because f = \frac{uv}{u+v}$\\
$\therefore {f}_1 = \frac{{u}_1{v}_1}{{u}_1+{v}_1}$ = %% f[1][0] %% mm	$ {f}_2$ = %% f[1][1] %% mm	$ {f}_3$ = %% f[1][2] %% mm\\
$\therefore {\bar{f}}_2 = \frac{{f}_1+{f}_2+{f}_3}{3}$ = %%　f[1][3] %% mm

\subsubsection*{(3)u>2f 成倒立缩小的实像}

\begin{center}

\begin{tabular}{|c|c|c|c|c|}
\hline 
光源/mm & 光屏/mm & 凸透镜1/mm & 凸透镜2/mm & 均值/mm \\ 
\hline 
{%for ei in EXPER_3 -%}
{% for i in ei-%}
{% if loop.index ==1 -%}
%% i %%
{% else -%}
& %% i %%
{%- endif %}
{%- endfor %}
\\
\hline
{%- endfor %}
\end{tabular}
\vspace{10pt}
\end{center}
u = $\left | {x}_{\text{凸}} - {x}_{\text{光源}} \right | - {\delta}$\\
${u}_1$ = %% U[2][0] %% mm		${u}_2$ = %% U[2][1] %% mm		${u}_3$ = %% U[2][2] %% mm\\
v = $\left | {x}_{\text{屏}} - {x}_{\text{凸}} \right |$\\
${v}_1$ = %% V[2][0] %% mm		${v}_2$ = %% V[2][1] %%	mm		${v}_3$ = %% V[2][2] %% mm\\
$\because f = \frac{uv}{u+v}$\\
$\therefore {f}_1 = \frac{{u}_1{v}_1}{{u}_1+{v}_1}$ = %% f[2][0] %% mm	$ {f}_2$ = %% f[2][1] %% mm	$ {f}_3$ = %% f[2][2] %% mm\\
$\therefore {\bar{f}}_3 = \frac{{f}_1+{f}_2+{f}_3}{3}$ = %%　f[2][2] %% mm
$\therefore {\bar{f}} = \frac{\bar{f}_1+\bar{f}_2+\bar{f}_3}{3} = $%% Average_f %% mm
\end{document}
